Q$3.$ A thin uniform cylindrical shell, closed at both ends is partially filled with water. It is floating

vertically in water in half$-$submerged state. If $$c is the relative density of the material of the shell

with respect to water, then the correct statement is that the shell is

$($a$)$ more than half$-$filled if $$c is less than $0\mathrm{.}5$

$($b$)$ more than half$-$filled if $$c is less than $1\mathrm{.}0$

$($c$)$ half$-$filled if $$c is more than $0\mathrm{.}5$

$($d$)$ less than half$-$filled if $$c is less than $0\mathrm{.}5$